a) Distinguish between continuous and discrete system apaye fast food has a one check out point. Customers arive at this checkout at andom from 1 to 8 minutes apart and each interval time as the same probability

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter12: Review Of Calculus And Probability
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Cs401 q5

Question 5
a) Distinguish between continuous and discrete system
Papaye fast food has a one check out point. Customers arrive at this checkout at
random from 1 to 8 minutes apart and each interval time as the same probability
of occurrence. The service time vary from 1 to 6 minutes, with probability given
below
Service
1
2
3
4
5
(mins)
Probability o.10
0.20
0.30
0.25
0.10
0.05
b) Simulate the arrival of 6 customers
c) From your simulation, compute the following
(i) Average waiting time for a customer
(ii) The probability that a customer has to wait
The probability of a customer being idle
(iv) The average service time
(v)
The average time between arrival
Use the following sequence of random numbers:
Random digit for arrival: 913, 727, 015, 948, 309, 922
Random digit for service time: 84, 10,74, 53, 17, 79
Transcribed Image Text:Question 5 a) Distinguish between continuous and discrete system Papaye fast food has a one check out point. Customers arrive at this checkout at random from 1 to 8 minutes apart and each interval time as the same probability of occurrence. The service time vary from 1 to 6 minutes, with probability given below Service 1 2 3 4 5 (mins) Probability o.10 0.20 0.30 0.25 0.10 0.05 b) Simulate the arrival of 6 customers c) From your simulation, compute the following (i) Average waiting time for a customer (ii) The probability that a customer has to wait The probability of a customer being idle (iv) The average service time (v) The average time between arrival Use the following sequence of random numbers: Random digit for arrival: 913, 727, 015, 948, 309, 922 Random digit for service time: 84, 10,74, 53, 17, 79
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